Some people still prefer the age-old home remedy of baking soda and a toothbrush to gently whiten teeth at home. Also, some foods such as celery, apples, pears, and carrots trigger lots of saliva, which helps wash away food debris on your teeth. Chewing sugarless gum is a tooth-cleansing action and also triggers saliva. A bonus from all that saliva: It neutralizes the acid that causes tooth decay. With teeth, more saliva is better all around.